Robust Feedback Stabilization of Linear MIMO Systems Using Generalized Homogenization

Konstantin Zimenko (1) , Andrey Polyakov (2, 1) , Denis Efimov (2, 1) , Wilfrid Perruquetti (3)

1 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]
2 VALSE - Finite-time control and estimation for distributed systems
3 CRISTAL - Centre de Recherche Réseau Image SysTème Architecture et MuLtimédia

A robust nonlinear control is designed for stabilizing linear MIMO systems. The presented control law homogenizes a linear system (without its transformation to a canonical form) with a specified degree and stabilizes it in a finite time (or with a fixed-time attraction to any compact set containing the origin) if the degree of homogeneity is negative (positive). The tuning procedure is formalized in LMI form. Performance of the approach is illustrated by numerical and experimental examples.

Mots clés: Generalized homogeneity; finite-time stabilization; linear MIMO systems

Domaines: Automatique

Konstantin Zimenko, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Robust Feedback Stabilization of Linear MIMO Systems Using Generalized Homogenization. IEEE Transactions on Automatic Control, inPress, ⟨10.1109/TAC.2020.2969718⟩. ⟨hal-02614543⟩